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# The roots of y^2 + 5y - 11 = 0 are a and b. Find (a + 3)(b + 3).

0
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The roots of y^2 + 5y - 11 = 0 are a and b. Find (a + 3)(b + 3).

Aug 3, 2020

#1
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The roots a and b are $$\frac{-5 \pm \sqrt{69}}{3}$$

so (a + 3)(b + 3) = $$(-\frac{5 + \sqrt{69}}{3} + 3)(-\frac{5 - \sqrt{69}}{3} + 3) = -21$$

Aug 3, 2020
#2
+2315
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You use the quadratic formula to find the roots of y^2+5y-11.